Nathaniel goes to a store an buys an item that costs xx dollars. He has a coupon for 40% off, and then a 7% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Nathaniel paid at the register.

\(\large \mathfrak{Solution : }\)

let's solve for y :

therefore, the value of above expression is 18 .

Answer:

Step-by-step explanation:

-1 = 7 - x

On this case, what you want to achieve is for all the constants to go to one side of the equation and all the variables would be on the other side of the equation. Let us transpose 7 to the left side of the equation.

subtract 7 on both sides

-1 = 7 - x

-1 - 7 = 7 - 7 - x

Simplify

-8 = -x

Divide both sides by -1

-8/-1 = -x/-1

8 = x

The answer to the question is x=8. It is an example of a linear equation.

A linear equation is an algebraic equation that represents a straight line when graphed on a coordinate plane. It consists of variables, constants, and coefficients, with the variables raised to the power of 1 (i.e., they are not squared or cubed).

A general form of a linear equation with one variable, let's say x, is:

ax + b = 0

Here, 'a' and 'b' are constants, and 'x' is the variable. The coefficient 'a' represents the slope or gradient of the line, while the constant term 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

In this question,

-1 = 7-x (Given)

so, x = 7+1

        =8

Therefore, the solution to the equation is x=8.

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The perimeter of the shape T if Shape S has a perimeter of 12 cm is 120 cm.

The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline.

Given:

One side of the shape S is 4 cm,

One side of the shape T is 40 cm,

As the triangle is similar, then the sides of the triangle are in ratio,

Calculate the ratio of the sides as shown below,

The ratio of the sides  = 40 / 4

The ratio of the sides  = 10 / 1

Calculate the perimeter of the shape T as shown below,

The perimeter of the shape T = 10 / 1 × 12

The perimeter of the shape T = 120 cm

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The length of each side of the octagon is 6 cm

It is a polygon with eight sides and eight angles. There are a total of 20 diagonals in it. All its interior angles sum up to 1080°.

Given that, a regular octagon has an area of 288 square centimeters and an apothem of 12 cm.

We need to find the side of the octagon,

We know that area of the octagon = 8/2 × side × apothem

Therefore,

288 = 8/2 × side × 12

side = 288 / 48

side = 6

Hence, the length of each side of the octagon is 6 cm

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Both the computers will take 18 minutes to do the job together.

The slower computer sends all the company's email in 45 minutes.

The faster computer completes the same job in 30 minutes.

Let's take minutes t  to complete the task together.

As they complete one job, we get the following equation:

\(\frac{t}{45}\)+\(\frac{t}{30}\)=1

LCM of 45 and 30 is:

45 = 3 x 3 x 5

30 = 2 x 3 x 5

LCM = 2 x 3 x 3 x 5 = 90

Now, solving for t;

⇒\(\frac{2t+3t}{90} = 1\\\frac{5t}{90} =1\\5t=90\\\)

Dividing both sides by 5;

\(\frac{5t}{5}=\frac{90}{5}\)

We get t = 18

Hence, it will take both the computers 18 minutes to do the job together.

A company has two large computers. The slower computer can send all the company's emails in 45 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?

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Answer:

let x represent the number =x

then 3/4 of x =3x/4

so 3x/4 < 3/4

3x<3/ 4=1

4=3x<3

x=1/3

Answer:

15% of $2.55=$0.3825=$0.38 off

Step-by-step explanation:

Take 15% and divide 15% by $2.55 This will give you the amount of money that is going to be added onto the bill. When you divide it and get your answer just add the answer to your original bill.

$0.38

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given that,  a 15% tip on a dinner bill is $2.55.

Take 15% and divide 15% by $2.55 This will give you the amount of money that is going to be added onto the bill.

15% of $2.55=$0.3825=$0.38 off

When you divide it and get your answer just add the answer to your original bill.

Hence, tip on a dinner bill is $0.38

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Answer:

24 x 4 = k x 4

Step-by-step explanation:

It is given that the point G lies on the line segment FH and divides it in the ration 5:2.

So we will use the section formula to obtain the coordinates of the point G.

Now the x-coordinate of the point G will be:-

Now the y-ccordinate of the point G will be:-

So the coordinates of the point G are (-6, 14).

Hence the correct option is (D).

Answer: 3

Step-by-step explanation:

      First, we will write a mathematical equation for the phrase given.

-> Let n be "a number"

             four subtracted from twice a number is two

             four subtracted from twice a number = 2

             (twice a number) - 4 = 2

             2n - 4 = 2

      Now, we will solve this equation by isolating the variable.

             2n - 4 = 2

             2n = 6

             n = 3

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Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

16x² + 4x - 42 = 0  (Multiply entire equation by -1, "flip" equation)

8x² + 2x - 21 = 0    (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0  (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

\(x = -\frac{7}{4} =-1.75 . or .x= \frac{3}{2} = 1.5\)

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

(hop this helps can I pls have brainlist (crown)☺️)

2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

Given that the lifetime of a particular integrated circuit has an exponential distribution with a mean of 5 years. (a) To find the probability that the circuit lasts longer than eight years,

we can use the exponential distribution formula, which is P(X > x) = e^(-λx)Here, mean = 5 years

Let X be the lifetime of the circuit, then the parameter λ can be calculated as λ = 1/mean= 1/5= 0.2So, P(X > 8) = e^(-λx) = e^(-0.2 * 8) = e^(-1.6) ≈ 0.20190Hence, the probability that the circuit lasts longer than eight years is approximately 0.20190. (b) The median of an exponential distribution can be found using the formula m = ln(2)/λWhere λ is the parameter and m is the median.

Let's substitute the values, λ = 0.2Then, m = ln(2)/0.2 = 3.4657 Thus, the median lifetime of the circuit is approximately 3.4657 years.

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Answer:

second and fourth

Step-by-step explanation:

answered the question

Answer:

About 7.94

Step-by-step explanation:

The formula to find the edge of each side is V^1/3. And 500^1/3 is about 7.94

Answer:

i keep getting a different answer every time _-_ I'M LOSING MY MIND!!!

Answer and Step-by-step explanation:

The problem shown is 0.8 x 0.5.

Yes, if you multiply tenth by tenth you get hundredth. However, Don is wrong for saying Halen is wrong. This is because 0.8 x 0.5 = 8/10 x 5/10 = 40/100 = 0.40

But because the zero after 4 is insignificant, the zero goes and it is now 0.4.

the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%.The Acosta family paid $91.83 for the meal, including the 15% tip.

To calculate the total amount paid, we need to add the original price of the meal to the tip amount. The price of the meal was $79.85, and the tip was 15% of that amount. To find the tip, we multiply $79.85 by 0.15 (or 15% expressed as a decimal), which equals $11.98. Adding the tip of $11.98 to the original price, the total amount paid is $91.83.

In more detail, a 15% tip means that 15% of the meal price is added as an extra amount to the bill. To calculate the tip, we multiply the meal price ($79.85) by 0.15 (or 15% as a decimal), resulting in $11.98. This represents the additional amount the Acosta family paid for the tip. To find the total amount paid, we add the tip amount to the original meal price: $79.85 + $11.98 = $91.83. Therefore, the Acosta family paid $91.83 for the meal, including the tip.

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Answer:

28

Step-by-step explanation:

Given the base and height, we can split the triangle into 2.

So now the height for our right triangle with still be 25 but the base will become half of what it used to be which is 12.

Using the Pythagorean Theorem:

A^2+B^2=H^2                

a = side of right triangle

b = side of right triangle

c = hypotenuse

Plugin the values

25^2+12^2=H^2

625+144=H^2

769=H^2

27.73=H

Rounded to 28

Hope this helps :)

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

A linear equation that relates the cost of c in dollars of renting a truck to the number x of miles driven is c = 0.09x + 39, and the cost of renting the truck if the truck is driven 187 miles and 319 miles is equal to $55.83 and $67.71 respectively.

If the rental company rents a truck by charging $34 and 0.09$ per mile, the liner equation can be given as

c = 0.09x + 39

where c represents the cost in dollars of renting the truck and x represents the number of miles

If the truck is driven 187 miles, it can be calculated using the linear equations as follows,

c = 0.09x + 39

As x = 187

c = 0.09 (187) + 39

c = 16.83 + 39

c = 55.83

If the truck is driven 319 miles, it can be calculated using the linear equations as follows,

c = 0.09x + 39

As x = 319

c = 0.09 (319) + 39

c = 28.71 + 39

c = 67.71

Hence the cost in dollars of renting the truck if the truck is driven 187 miles and 319 miles is calculated to be 55.83 and 67.71 respectively.

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Answer: Each person will pay $2.34.

Step-by-step explanation:

Given: Cost of one pound of cherries = $1.30

Cost of \(7\dfrac15\) pounds of cherries  = \(7\dfrac15\times 1.30\)

\(=\dfrac{36}{5}\times1.30\)

= $9.36

Each person will pay = (Cost of \(7\dfrac15\) pounds ) ÷ 4

\(=9.36\div4\)

=$2.34

Hence, Each person will pay $2.34.

Answer:

5-2x

Step-by-step explanation:

so you write 16 but i don't speak English very good i want help you 2(6+3)-2 ok you you going multiplying 2×6=12+6=18-2=16 so 16

Answer:

The equation would be y=2x-2 so slope would be 2

sorry if i'm wrong

To prove that two triangles are similar, we must show that they have the same shape, but not necessarily the same size. This can be done by showing that the corresponding angles of the two triangles are equal and that the corresponding sides are in proportion.

To do this, we can use the Side-Side-Side (SSS) Similarity Theorem. This theorem states that if all three pairs of corresponding sides of two triangles are in proportion, then the two triangles are similar. To prove this, we must show that the ratio of each pair of corresponding sides is equal.

For example, let's say we have two triangles ABC and DEF. To prove that these two triangles are similar, we must show that the ratio of AB to DE is equal to the ratio of BC to EF. We can do this by solving the following equation:

AB/DE = BC/EF

If the equation is true, then the two triangles are similar.

We can also use the Angle-Angle-Angle (AAA) Similarity Theorem to prove that two triangles are similar. This theorem states that if all three pairs of corresponding angles of two triangles are equal, then the two triangles are similar. To prove this, we must show that the measure of each pair of corresponding angles is equal.

For example, let's say we have two triangles ABC and DEF. To prove that these two triangles are similar, we must show that the measure of angle A is equal to the measure of angle D, the measure of angle B is equal to the measure of angle E, and the measure of angle C is equal to the measure of angle F.

If the measures of the corresponding angles are equal, then the two triangles are similar.

Therefore, to prove that two triangles are similar, we must show that either the corresponding sides are in proportion (using the SSS Similarity Theorem) or the corresponding angles are equal (using the AAA Similarity Theorem).

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Answer:

6/7

Step-by-step explanation:

Total number of jerseys = 4 + 3 = 7

Now, the probability of picking a purple Jersey = number of purple jerseys/total number of jerseys = 3/7

Now let’s look at picking a jersey with even number

Even number jerseys are yellow two and yellow four and also purple two

So we have 3 even numbered jersey. The probability of picking an even numbered jersey is 3/7

In probability, once we have or, we add

The probability of picking an even numbered jersey or a purple jersey = 3/7 + 3/7 = 6/7

Answer:

\(y=-\frac{2}{3}x-\frac{26}{3}\)

Step-by-step explanation:

Equation of straight line in point slope form is given as

\((y-y_1)=m(x-x_1)\)

Here

\((x_1, y_1)=(-7,-4) \ and \ m=-\frac{2}{3}\)

Therefore,

\((y+4)=-\frac{2}{3}(x+7)\)

Graph of equation is attached